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Let's say, to be charitable, that the double-digit percentage of Category IV recruits in November is something between 10 percent and 20 percent. If the share of Cat IV recruits for all of FY 2006 is to be kept at no more than 4 percent, yet the share for the first two months is 12 percent (October) and something between 10 percent and 20 percent (an optimistic reading of November's "double digits"), Cat IV recruits over the next 10 months must average well below 3 percent. Here's the math:

If the November "double digit" were 10 percent:

(12 + 10 + 10x) divided by 12 months = 4.
Thus, 12 + 10 + 10x = 48.
Thus, 22 + 10x = 48.
Thus, 10x = 26.
Thus, x = 2.6

If the November "double-digit" were 20 percent:

(12 + 20 + 10x) divided by 12 months = 4.
Thus, 12 + 20 + 10x = 48.
Thus, 32 + 10x = 48.
Thus, 10x = 16.
Thus, x = 1.6

In other words, if the Army is to come within its Category IV limit of 4 percent for the entire year (and assuming Cat IV personnel comprised 10 percent to 20 percent of recruits in November '05), its Cat IV recruits for the rest of the fiscal year must not exceed, on average, 1.6 percent to 2.6 percent per month.

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